A parametrical model to describe a stable and stationary age structure for fossil populations

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• 作者：Jesú ; s A. Martí ; n-Gonzá ; lez^a ; ¹ ; ^{jesusangel.martin@ubu.cenieh.es" class="auth_mail" title="E-mail the corresponding author} ; Ana Mateos^b ; ^{ana.mateos@cenieh.es" class="auth_mail" title="E-mail the corresponding author} ; Guillermo Rodrí ; guez-Gó ; mez^c ; ^{guillerwilson@gmail.com" class="auth_mail" title="E-mail the corresponding author} ; Jesú ; s Rodrí ; guez^b ; ^{jesus.rodriguez@cenieh.es" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Mathematical models ; Age structure population ; Leslie matrix ; Fossil sample
• 刊名：Quaternary International
• 出版年：2016
• 出版时间：22 August 2016
• 年：2016
• 卷：413
• 期：part_PB
• 页码：69-77
• 全文大小：1737 K

文摘

A parametric family of models based on the Weibull model was proposed to describe the age structure of a fossil population. This descriptive approach was combined with a population dynamics model based on the Leslie matrix. The stability and sustainability conditions were algebraically stated to provide an equilibrium equation for any species. The model parameters for a sustainable population were determined via numerical methods. These values represent the survival and mortality profiles for a sustainable population and are comparable between different populations. This approach tests whether an observed mortality profile might correspond to the natural mortality pattern of a stable population. Finally, the model performance was tested for three fossil Bison priscus populations (Il'Skaya, Mauran and Coudoulous) using literature data.